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Finding the Third Proportional to 334.86 and 717.82

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Solution

The third proportional to 334.86 and 717.82 is: 1,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 717.82 = 717.82 : x
  2. Step 2: Convert to fraction form
    334.86/717.82 = 717.82/x
  3. Step 3: Cross multiply
    334.86x = 717.82 × 717.82
  4. Step 4: Simplify right side
    334.86x = 515,266.00
  5. Step 5: Solve for x
    x = 515,266.00/334.86
  6. Step 6: Final answer
    x = 1,538.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.